Quantum Mechanics and Closed Timelike Curves

Objects Moving along Closed Timelike Curves belong to Proper Classes

According to the set theory, we prove that objects moving along closed timelike curves (CTCs) should belong to proper classes, but never to any set. Particles in a set have to change own some properties when they come into a CVC in order to become the objects in a proper class.

Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes

The formation of naked singularities in $2+1-$ dimensional power - law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed at $r=0$. We show that when the classically singular spacetimes probed with scalar waves, the considered spacetimes remains singular. However, the spinorial wave probe of the sin…

PT对称虫洞中的闭合类时曲线

Closed timelike curves in PT-symmetric wormholes

该研究修正爱因斯坦-罗森虫洞模型，通过双度规几何和PT对称性实现单向可穿越性，耦合两个虫洞生成闭合类时曲线，开发标量场有效理论，为探索PT对称性对因果性的影响及标量场量子化开辟新途径。